Extensional behavior influence on viscoelastic turbulent channel flow

Journal of Non-Newtonian Fluid Mechanics

Volumn 140, Issue 1-3, 2006, Pages 41-56

  Housiadas, Kostas D ^a   Beris, Antony N ^b  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b University of Delaware   (United States)

Author keywords

Drag reduction; Extensional viscosity; FENE P; FENE PB; Turbulence; Viscoelasticity

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DRAG; FREE ENERGY; MATHEMATICAL MODELS; RHEOLOGY; SHEAR FLOW; STEADY FLOW; TURBULENT FLOW; VISCOELASTICITY;

DIRECT NUMERICAL SIMULATION; EXTENSIONAL VISCOSITY; POLYMER-INDUCED DRAG REDUCTION; TROUTON RATIO;

CHANNEL FLOW;

APPROXIMATION THEORY; CHANNEL FLOW; COMPUTER SIMULATION; DRAG; FREE ENERGY; MATHEMATICAL MODELS; RHEOLOGY; SHEAR FLOW; STEADY FLOW; TURBULENT FLOW; VISCOELASTICITY;

EID: 33751218021     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.03.017     Document Type: Article

References (39)

1. Toms B.A. Observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers. Proceedings of the International Rheological Congress, vol. 2. Holland, 1948 (1949), North-Holland 135-141
2. Virk P.S. Drag reduction fundamentals. AIChE J. 21 (1975) 625-656
3. Luchik T.S., and Tiederman W.G. Turbulent structure in low-concentration drag-reducing channel flows. J. Fluid Mech. 190 (1988) 241-263
4. Tiederman W.G. The effect of dilute polymer solutions on viscous drag and turbulent structure. In: Gyr A. (Ed). Structure of Turbulence and Drag Reduction (1989), Springer-Verlag 155-185
5. Virk P.S., and Wagger D.L. Aspects of mechanisms in Type B drag reduction. In: Gyr A. (Ed). Structure of Turbulence and Drag Reduction (1989), Springer-Verlag 201-213
6. Tanner R.I. Engineering Rheology. 2nd ed. (2000), Clarendon Press, Oxford
7. Sureshkumar R., Beris A.N., and Handler R.A. Direct numerical simulation of the turbulent channel flow of a polymer solution. Phys. Fluids 9 (1997) 743-755
8. Dimitropoulos C.D., Sureshkumar R., and Beris A.N. Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: effect of the variation of rheological parameters. J. Non-Newtonian Fluid Mech. 79 (1998) 433-468
9. Dimitropoulos C.D., Sureshkumar R., Beris A.N., and Handler R.A. Budgets of Reynolds stress, turbulent kinetic energy and vorticity production in the turbulent channel flow of a dilute polymer solution. Phys. Fluids 13 (2001) 1016-1027
10. De Angelis E., Casciola C.M., and Piva R. DNS of wall turbulence: dilute polymers and self-sustaining mechanisms. Comput. Fluids 31 (2002) 495-507
11. Sibilla S., and Baron A. Polymer stress statistics in the near-wall turbulent flow of a drag-reducing solution. Phys. Fluids 14 3 (2002) 1123-1136
12. Min T., Yoo J.Y., Choi H., and Joseph D.D. Drag reduction by polymer additives in a turbulent channel flow. J. Fluid Mech. 486 (2003) 213-238
13. Min T., Choi H., and Yoo J.Y. Maximum drag reduction in a turbulent channel flow by polymer additives. J. Fluid Mech. 492 (2003) 91-100
14. Yu B., and Kawaguchi Y. Effect of Weissenberg number on the flow structure: DNS study of drag reducing flow with surfactant additives. Int. J. Heat Fluid. Trans. 24 (2003) 491-499
15. Housiadas K.D., and Beris A.N. Polymer-induced drag reduction: effects of the variations in elasticity and inertia in turbulent viscoelastic channel flow. Phys. Fluids 15 (2003) 2369-2384
16. De Angelis E., Casciola C.M., L'vov V.S., Piva R., and Procaccia I. Drag reduction by polymers in turbulent channel flows: energy redistribution between invariant empirical modes. Phys. Rev. E 67 (2003) 05631211
17. Ptasinski P.K., Boersma B.J., Nieuwstadt F.T.M., Hulsen M.A., Van den Brule B.H.A.A., and Hunt J.C.R. Turbulent channel flow near maximum drag reduction: simulations, experiments and mechanisms. J. Fluid Mech. 490 (2003) 251-291
18. Housiadas K.D., and Beris A.N. Characteristic scales and drag reduction evaluation in turbulent channel flow of nonconstant viscosity viscoelastic fluids. Phys. Fluids 16 (2004) 1581
19. Housiadas K.D., Handler R.A., and Beris A.N. Viscoelastic effects on higher order statistics and on the coherent structures in turbulent channel flow. Phys. Fluids 17 3 (2005) 035106(1-20)
20. Bird R.B., Curtiss C.F., Armstrong R.C., and Hassager O. Dynamics of Polymeric Fluids. 2nd ed. vol. 2 (1987), John Wiley and Sons, New York
21. Beris A.N., and Edwards B.J. Thermodynamics of Flowing Systems (1994), Oxford University Press, New York
22. Bird R.B., Armstrong R.C., and Hassager O. Dynamics of Polymeric Fluids. 2nd ed. vol. 1 (1987), John Wiley and Sons, New York
23. Seyer F.A., and Metzner A.B. Turbulent in drag reducing systems. AIChE J. 15 (1969) 426-434
24. Keunings R. On the Peterlin approximation for finitely extensible dumbbells. J. Non-Newtonian Fluid Mech. 68 (1997) 85-100
25. Van Heel A.P.G., Hulsen M.A., and Van den Brule B.H.A.A. On the selection of parameters in the FENE-P model. J. Non-Newtonian Fluid Mech. 75 (1998) 253-271
26. Lielens G., Halin P., Jaumain I., Keunings R., and Legat V. New closure approximations for the kinetic theory of finitely extensible dumbbells. J. Non-Newtonian Fluid Mech. 76 (1998) 249-279
27. Lielens G., Keunings R., and Legat V. The FENE-L and FENE-LS closure approximations to the kinetic theory of finitely extensible dumbbells. J. Non-Newtonian Fluid Mech. 87 (1999) 179-196
28. Gupta V.K., Sureshkumar R., and Khomami B. Polymer chain dynamics in Newtonian and viscoelastic channel flows. Phys. Fluids 16 (2004) 1546-1566
29. Du Q., Liu C., and Yu P. FENE dumbbell model and its several linear and nonlinear closure approximations. Multiscale Model. Simul. 4 (2005) 709-731
30. Yu P., Du Q., and Liu C. From micro to macro dynamics via a new closure approximation to the FENE model of polymeric fluids. Multiscale Model. Simul. 3 (2005) 895-917
31. Orr N.V., and Sridhar T. Stress relaxation in uniaxial extension. J. Non-Newtonian Fluid Mech. 67 (1996) 77-103
32. Anna S.L., and McKinley G.H. Elasto-capillary thinning and breakup of model elastic liquids. J. Rheol. 45 (2001) 115-138
33. A.N. Beris, One generator bracket-based approach to nonequilibrium thermodynamics: overview and current applications, in: E. Restugia (Ed.), Proceedings of the International Conference and Summer School: THERMOCON'05, Italy, September 25-30, 2005, Thermal Theories of Continua: Survey and Developments, University of Messina, 2006 (in preparation).
34. Öttinger H.C. Beyond Equilibrium Thermodynamics (2005), Wiley
35. Orlandi P. A tentative approach to the direct simulation of drag reduction by polymers. J. Non-Newtonian Fluid Mech. 60 (1996) 277-301
36. Phillips T.N., and Soliman I.M. Influence matrix technique for the numerical spectral simulation of viscous incompressible flows. Num. Meth. PDE 7 (1991) 9-24
37. Lumley J.L. Drag reduction by additives. Ann. Rev. Fluid Mech. 1 (1969) 367-384
38. Metzner A.B. Polymer solution and fiber suspension rheology and their relationship to turbulent drag reduction. Phys. Fluids 20 (1977) 145-149
39. Lumley J.L. Drag reduction in turbulent flow by polymer additives. Macromol. Rev. 7 (1973) 263-290